Question

Let $S$ be the set of all triangles and $R^{+}$ be the set of all positive real numbers. If the relation $f$ defined from $S$ to $R^{+}$ such that $f\left(△\right)=$ area of triangle, $△\in S$, then which of the following is true about relation $f$

• A. $f$ is not a function
• B. relation $f$ is a many-one function
• C. If ${△}_1\cong {△}_2$, then $f\left({△}_1\right)\ne f\left({△}_2\right)$
• D. None of the above

Answer 1

The correct option is B relation $f$ is a many-one function

Relation $f$ is a function as a triangle can't have two different values of it's area.
$f$ is not one-one as many triangles exist for same area.